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Finding the Fourth Proportional to 203,316.36, 280,568.92 and 112,670

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Solution

The fourth proportional to 203,316.36, 280,568.92 and 112,670 is: 155,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,316.36 : 280,568.92 = 112,670 : x
  2. Step 2: Convert to fraction form
    203,316.36/280,568.92 = 112,670/x
  3. Step 3: Cross multiply
    203,316.36x = 280,568.92 × 112,670
  4. Step 4: Simplify right side
    203,316.36x = 31,611,700,216.40
  5. Step 5: Solve for x
    x = 31,611,700,216.40/203,316.36
  6. Step 6: Final answer
    x = 155,480.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.